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99243144000 = 2636537111317
BaseRepresentation
bin101110001101101011…
…0100011001101000000
3100111011102111002000000
41130123112203031000
53111222221102000
6113331445000000
710112223543150
oct1343326431500
9314142432000
1099243144000
11390a8192a80
12172983b3000
139487a84460
144b36726760
1528aca86000
hex171b5a3340

99243144000 has 3136 divisors, whose sum is σ = 523866051072. Its totient is φ = 17915904000.

The previous prime is 99243143957. The next prime is 99243144019. The reversal of 99243144000 is 44134299.

99243144000 is a `hidden beast` number, since 9 + 9 + 243 + 1 + 4 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 5837831992 + ... + 5837832008.

Almost surely, 299243144000 is an apocalyptic number.

99243144000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99243144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261933025536).

99243144000 is an abundant number, since it is smaller than the sum of its proper divisors (424622907072).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

99243144000 is a wasteful number, since it uses less digits than its factorization.

99243144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 99243144000 its reverse (44134299), we get a palindrome (99287278299).

The spelling of 99243144000 in words is "ninety-nine billion, two hundred forty-three million, one hundred forty-four thousand".